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Bas_tet [7]
3 years ago
12

Which of the following is the correct Pythagorean Formula?

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:The second answer

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An advertisement for a popular weight-loss clinic suggests that participants in its new diet program lose, on average, more than
Sedbober [7]

Testing the hypothesis, it is found that:

a)

The null hypothesis is: H_0: \mu \leq 10

The alternative hypothesis is: H_1: \mu > 10

b)

The critical value is: t_c = 1.74

The decision rule is:

  • If t < 1.74, we <u>do not reject</u> the null hypothesis.
  • If t > 1.74, we <u>reject</u> the null hypothesis.

c)

Since t = 1.41 < 1.74, we <u>do not reject the null hypothesis</u>, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

Item a:

At the null hypothesis, it is tested if the mean loss is of <u>at most 10 pounds</u>, that is:

H_0: \mu \leq 10

At the alternative hypothesis, it is tested if the mean loss is of <u>more than 10 pounds</u>, that is:

H_1: \mu > 10

Item b:

We are having a right-tailed test, as we are testing if the mean is more than a value, with a <u>significance level of 0.05</u> and 18 - 1 = <u>17 df.</u>

Hence, using a calculator for the t-distribution, the critical value is: t_c = 1.74.

Hence, the decision rule is:

  • If t < 1.74, we <u>do not reject</u> the null hypothesis.
  • If t > 1.74, we <u>reject</u> the null hypothesis.

Item c:

We have the <u>standard deviation for the sample</u>, hence the t-distribution is used. The test statistic is given by:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • s is the standard deviation of the sample.
  • n is the sample size.

For this problem, we have that:

\overline{x} = 10.8, \mu = 10, s = 2.4, n = 18

Thus, the value of the test statistic is:

t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}

t = \frac{10.8 - 10}{\frac{2.4}{\sqrt{18}}}

t = 1.41

Since t = 1.41 < 1.74, we <u>do not reject the null hypothesis</u>, that is, it cannot be concluded that the mean weight loss is of more than 10 pounds.

A similar problem is given at brainly.com/question/25147864

3 0
3 years ago
Given that sec x - tan x=1÷4<br><br>​
solniwko [45]

Answer:Let =tan2

t

=

tan

⁡

x

2

, then cos=1−21+2

cos

⁡

x

=

1

−

t

2

1

+

t

2

and tan=21−2

tan

⁡

x

=

2

t

1

−

t

2

.

Now

1+21−2+21−2(1+)21−21+1−tan2

Step-by-step explanation:

5 0
3 years ago
Noreen can walk 1/3 mile in 12 minutes. What is her average speed in miles per hour?
Ksivusya [100]

Answer:

2 miles per hour

Step-by-step explanation:

12 minutes is .2 hours

1/3 divided by .2 is 1.66666667 round to nearest whole number and get 2

5 0
3 years ago
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What is used to locate a point on the coordinate plane?
DiKsa [7]
You can locate<span> any </span>point on the coordinate plane<span> using an ordered pair of numbers. 

e.i. (4,2) will be 4 units to the right and 2 units up on the coordinate plane.</span>
5 0
3 years ago
Please help with this question<br> (10a³+20a²-5a)
grigory [225]
Factoring the expression would be 6a(2a^2+4a-1)
8 0
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